- MacTutor History of Mathematics ArchiveHosted by the University of St Andrews. Free online resource, includes essays and supporting materials.

Search for books on your reading list through Discovery

Through Springer we have access to a number of monograph series for mathematics, including those listed below. You can browse the series through these links or search discovery for specific topics.

- Lecture Notes in MathematicsCall Number: OnlineThis series reports on new developments in all areas of mathematics and their applications - quickly, informally and at a high level. 1997 onwards available

- Directory of Open Access BooksSearchable index to peer-reviewed monographs and edited collections published under an open access licence, with links to the full texts of the publications at the publisher’s website or repository.
- AMS Books and ResourcesA selection of free books and resources from the American Mathematical Society focusing on the history of mathematics
- European Mathematical Information ServiceCentral portal for electronic math resources in Europe. Includes books, journals, proceedings and other resources.

The University has a subscription to Box of Broadcasts (BoB), an off-air TV and radio recording service for UK HE institutions, which allows you search and record any broadcast programme from 60+ TV and radio channels. This includes the 4 part BBC series "**The Story of Maths**" (to the left) , the radio programmes "**A Brief History of Mathematics**" and many other interesting radio and TV programmes.

- Box of Broadcasts (BoB) This link opens in a new window
Box Of Broadcasts (BoB) is a collection of over 2 million programmes broadcast on UK terrestrial television and radio. This includes BBC, ITV, Channel 4, Channel 5, and some Freeview channels, but not Sky or Virgin Media.

**BoB is only available within the United Kingdom.**

There is a complete archive of programmes from BBC1 London, BBC2, BBC, ITV London, Channel 4, More4, Channel 5, BBC Radio 4, BBC Radio 4 Extra , alongside an extensive selection of programmes from other channels.

The content is licensed under the university's Educational Recording Agency licence - you do not need your own UK Television Licence to watch BoB.

Use the 'Log in' button, select Heriot-Watt University then enter your HWU ID to access.

- Episode 1: The Language of the Universe
- Episode 2: The Genius of the East
- Episode 3: The Frontiers of Space
- Episode 4: To Infinity and Beyond
- Search via BoB (Box of Broadcasts)Use the 'Sign in' button, select Heriot-Watt University then enter your HWU ID to access.

Alternatively you can listen to or download the podcats from the BBC website:

- The History of Mathematics: A Very Short Introduction byCall Number: OnlineISBN: 9780199599684Publication Date: 2012

- Concise History of Mathematics by INTRODUCTION I. THE BEGINNINGS II. THE ANCIENT ORIENT III. GREECE IV. THE ORIENT AFTER THE DECLINE OF GREEK SOCIETY V. THE BEGINNINGS IN WESTERN EUROPE VI. THE SEVENTEENTH CENTURY VII. THE EIGHTEENTH CENTURY VIII. THE NINETEENTH CENTURY IX. THE FIRST HALF OF THE TWENTIETH CENTURYCall Number: printISBN: 0486602559Publication Date: 1954
- Excursions in the History of Mathematics by A. Number Theory 1. Highlights in the History of Number Theory: 1700 BC - 2008 2. Fermat: The Founder of Modern Number Theory 3. Fermat's Last Theorem: From Fermat to Wiles.- B. Calculus/Analysis. 4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher 5. A Brief History of the Function Concept 6. More on the History of Functions, Including Remarks on Teaching 7. Highlights in the Practice of Proof: 1600 BC - 2009 8. Paradoxes: What are they Good for? 9. Principle of Continuity: 16th - 19th centuries 10. Proof: A Many-Splendored Thing.- D. Courses Inspired by History 11. Numbers as a Source of Mathematical Ideas 12. History of Complex Numbers, with a Moral for Teachers 13. A History-of-Mathematics Course for Teachers, Based on Great Quotations 14. Famous Problems in Mathematics.- E. Brief Biographies of Selected Mathematicians. 15. The Biographies.- Index.Call Number: eBookISBN: 0817682678Publication Date: 2012
- A History of Mathematics by Table of Contents I. MATHEMATICS BEFORE THE SIXTH CENTURY. Ancient Mathematics. The Beginnings of Mathematics in Greece. Archimedes and Apollonius. Mathematical Methods in Hellenistic Times. The Final Chapters of Greek Mathematics. II. MEDIEVAL MATHEMATICS: 500-1400. Medieval China and India. The Mathematics of Islam. Mathematics in Medieval Europe. Mathematics Around the World. III. EARLY MODERN MATHEMATICS: 1400-1700. Algebra in the Renaissance. Mathematical Methods in the Renaissance. Geometry, Algebra, and Probability in the Seventeenth Century. The Beginnings of Calculus. IV. MODERN MATHEMATICS: 1700-2000. Analysis in the Eighteenth Century. Probability, Algebra, and Geometry in the Eighteenth Century. Algebra in the Nineteenth Century. Analysis in the Nineteenth Century. Geometry in the Nineteenth Century. Aspects of the Twentieth Century. Answers to Selected Problems. General References in the History of Mathematics. Index and Pronunciation Guide.Call Number: printISBN: 9780321387004Publication Date: 2008
- A History of Mathematics by Origins. Egypt. Mesopotamia. Ionia and the Pythagoreans. The Heroic Age. The Age of Plato and Aristotle. Euclid of Alexandria. Archimedes of Syracuse. Apollonius of Perga. Greek Trigonometry and Mensuration. Revival and Decline of Greek Mathematics. China and India. The Arabic Hegemony. Europe in the Middle Ages. The Renaissance. Prelude to Modern Mathematics. The Time of Fermat and Descartes. A Transitional Period. Newton and Leibniz. The Bernoulli Era. The Age of Euler. Mathematicians of the French Revolution. The Time of Gauss and Cauchy. Geometry. Analysis. Algebra. Poincare and Hilbert. Aspects of the Twentieth Century. References. General Bibliography. Appendix. Index.Call Number: printISBN: 9780471543978Publication Date: 1991
- A History of Mathematics by Introduction 1: Babylonian mathematics 2: Greeks and 'Origins' 3: Greeks, practical and theoretical 4: Chinese mathematics 5: Islam, neglect and discovery 6: Understanding the 'Scientific Revolution' 7: The Calculus 8: Geometries and Space 9: Modernity and its Anxieties 10: A Chaotic End? Bibliography IndexCall Number: printISBN: 9780198529378Publication Date: 2005
- An Introduction to the History of Mathematics byCall Number: printISBN: 0030295580Publication Date: 1964
- Mathematics: A Concise History and Philosophy by 1 Mathematics for Civil Servants 2 The Earliest Number Theory 3 The Dawn of Deductive Mathematics 4 The Pythagoreans 5 The Pythagoreans and Perfection 6 The Pythagoreans and Polyhedra 7 The Pythagoreans and Irrationality 8 The Need for the Infinite 9 Mathematics in Athens Before Plato 10 Plato 11 Aristotle 12 In the Time of Eudoxus 13 Ruler and Compass Constructions 14 The Oldest Surviving Math Book 15 Euclid’s Geometry Continued 16 Alexandria and Archimedes 17 The End of Greek Mathematics 18 Early Medieval Number Theory 19 Algebra in the Early Middle Ages 20 Geometry in the Early Middle Ages 21 Khayyam and the Cubic 22 The Later Middle Ages 23 Modern Mathematical Notation 24 The Secret of the Cubic 25 The Secret Revealed 26 A New Calculating Device 27 Mathematics and Astronomy 28 The Seventeenth Century 29 Pascal 30 The Seventeenth Century II 31 Leibniz 32 The Eighteenth Century 33 Lagrange 34 Nineteenth-Century Algebra 35 Nineteenth-Century Analysis 36 Nineteenth-Century Geometry 37 Nineteenth-Century Number Theory 38 Cantor 39 Foundations 40 Twentieth-Century Number TheoryCall Number: printISBN: 0387942807Publication Date: 1996
- Mathematics and Its History by The Theorem of Pythagoras Greek Geometry Greek Number Theory Infinity in Greek Mathematics Number Theory in Asia Polynomial Equations Analytic Geometry Projective Geometry Calculus Infinite Series The Number Theory Revival Elliptic Functions Mechanics Complex Numbers in Algebra Complex Numbers and Curves Complex Numbers and Functions Differential Geometry Non-Euclidean Geometry Group Theory Hypercomplex Numbers Algebraic Number Theory Topology Simple Groups Sets, Logic, and Computation CombinatoricsCall Number: eBookISBN: 9781441960535Publication Date: 2010
- Mathematics and the Historian's Craft by Introduction: The Birth and Growth of a Community History or Heritage? An Important Distinction in Mathematics and for Mathematics Education Ptolemy’s Mathematical Models and their Meaning Mathematics, Instruments and Navigation, 1600-1800 Was Newton’s Calculus a Dead End? The Continental Influence of Maclaurin’s Treatise of Fluxions The Mathematics and Science of Leonhard Euler (1707-1783) Mathematics in Canada before 1945: A Preliminary Survey The Emergence of the American Mathematical Research Community 19th Century Logic Between Philosophy and Mathematics The Battle for Cantorian Set Theory Hilbert and his Twenty-Four Problems Turing and the Origins of AI, Mathematics and Gender: Some Cross-Cultural ObservationsCall Number: eBookISBN: 9780387282725Publication Date: 2005
- Sherlock Holmes in Babylon and Other Tales of Mathematical History by Part I. Ancient Mathematics Sherlock Holmes in Babylon Words and pictures: new light on Plimpton 322 Mathematics 600 BC–600 AD Diophantus of Alexandria; Hypatia of Alexandria Hypatia and her mathematics The evolution of mathematics in ancient China, Liu Hui and the first golden age of Chinese mathematics Number systems of the North American Indians The number systems of the Mayas Before the conquest Part II. Medieval and renaissance mathematics The discovery of the series formula for π Ideas of calculus in Islam and India Was calculus invented in India? An early iterative method for the determination of sin 1º Leonardo of Pisa and his liber quadratorum The algorists vs. the abacists: an ancient controversy on the use of calculators Sidelights on the Cardan-Tartaglia controversy Reading Bombelli's x-purgated algebra The first work on mathematics printed in the New World Part III. The Seventeenth Century An application of geography to mathematics: history of the integral of the secant Some historical notes on the cycloid Descartes and problem-solving Rene Descartes' curve-drawing devices: experiments in the relations between mechanical motion and symbolic language Certain mathematical achievements of James Gregory The changing concept of change: the derivative from Fermat to Weierstrauss The crooked made straight: Roberval and Newton on tangents On the discovery of the logarithmic series and its development in England up to Cotes Isaac Newton: man, myth, and mathematics Reading the master: Newton and the birth of celestial mechanics Newton as an originator of polar coordinates Newton's method for resolving affected equations A contribution of Leibniz to the history of complex numbers Functions of a curve: Leibniz's original notion of functions and its meaning for the parabola; Part IV. The Eighteenth Century Brook Taylor and the mathematical theory of Linear Perspective Was Newton's calculus a dead end? The continental influence of Maclaurin's treatise of fluxions Discussion of fluxions: from Berkeley to Woodhouse The Bernoulli and the harmonic series Leonhard Euler 1707–1783 The number Euler's vision of a general partial differential calculus for a generalized kind of function Euler and the fundamental theorem of algebra Euler and the differentials Euler and quadratic reciprocityCall Number: printISBN: 0883855461Publication Date: 2004-08-31
- A Short Account of the History of Mathematics byCall Number: printISBN: 0486206300Publication Date: 1960